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Finding the Fourth Proportional to 164,516.44, 246,736.32 and 46,199.20

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Solution

The fourth proportional to 164,516.44, 246,736.32 and 46,199.20 is: 69,288.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,516.44 : 246,736.32 = 46,199.20 : x
  2. Step 2: Convert to fraction form
    164,516.44/246,736.32 = 46,199.20/x
  3. Step 3: Cross multiply
    164,516.44x = 246,736.32 × 46,199.20
  4. Step 4: Simplify right side
    164,516.44x = 11,399,020,594.94
  5. Step 5: Solve for x
    x = 11,399,020,594.94/164,516.44
  6. Step 6: Final answer
    x = 69,288.03

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.